53726400 has 504 divisors, whose sum is σ = 240755424. Its totient is φ = 11059200.

The previous prime is 53726389. The next prime is 53726417. The reversal of 53726400 is 462735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1310380 + ... + 1310420.

Almost surely, 2^53726400 is an apocalyptic number.

53726400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120377712).

53726400 is an abundant number, since it is smaller than the sum of its proper divisors (187029024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53726400 is a wasteful number, since it uses less digits than its factorization.

53726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 53726400 is about 7329.8294659562. The cubic root of 53726400 is about 377.3368738057.

The spelling of 53726400 in words is "fifty-three million, seven hundred twenty-six thousand, four hundred".